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Finding the Fourth Proportional to 576.14, 863.78 and 287.78

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Solution

The fourth proportional to 576.14, 863.78 and 287.78 is: 431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.14 : 863.78 = 287.78 : x
  2. Step 2: Convert to fraction form
    576.14/863.78 = 287.78/x
  3. Step 3: Cross multiply
    576.14x = 863.78 × 287.78
  4. Step 4: Simplify right side
    576.14x = 248,578.61
  5. Step 5: Solve for x
    x = 248,578.61/576.14
  6. Step 6: Final answer
    x = 431.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.